V. P. Permyakov

Effect of dtμquasi-nucleus structure on energy levels of the (dtμ)Xee exotic molecule

Precise energies of rovibrational states of the exotic hydrogen-like molecule $(dtμ)Xee$ are of importance for $dtμ$ resonant formation, which is a key process in the muon-catalyzed fusion cycle. The effect of the internal structure and motion of the $dtμ$ quasi-nucleus on energy levels is studied using the three-body description of the $(dtμ)Xee$ molecule based on the hierarchy of scales and corresponding energies of its constituent subsystems. For a number of rovibrational states of $(dtμ)dee$ and $(dtμ)tee$, the shifts and splittings of energy levels are calculated in the second order of the perturbation theory.